If, like someone said, Pick is becoming a window to viewers to show what Sky has to offer, does it necessarily need a new set of idents? It could just use idents already on the channels they already have. E.g. if showing a program from Sky Witness, use an ident from witness with a 'Sky Pick' logo and perhaps a voiceover 'Now from Sky Witness, here is 'The Good Doctor' on Sky Pick'. The logo could even follow the same colour schemes on the already established channels to try and establish brand synergy.
They could also rebrand Sky Sports Mix as Sky Sports Pick and perhaps Movies24 as Sky Cinema Pick. Three FTA channels showcasing the best 'picks' that Sky has to offer. Obviously, I know there would be limitations with Freeview space and I doubt they would want a return to anything Sky Sports related to Freeview but Pick could be the flagship FTA channel with some sports/films thrown in every once in a while.